On c-normal and hypercentrally embeded subgroups of finite groups
In this article, we investigate the structure of a finite group \g under the assumption that some subgroups of \g are c-normal in $G$. The main theorem is as follows:Let \e be a normal finite group of $G$. If all subgroups of \ep with order \dpp and 2\dpp (if $p=2$ and $E_{p}$ is not an abelian nor...
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| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2015
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/70 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-702015-09-28T11:22:08Z On c-normal and hypercentrally embeded subgroups of finite groups Su, Ning Wang, Yanming c-normal, hypercenter, p-supersolvable, p-nilpotent 20D10 In this article, we investigate the structure of a finite group \g under the assumption that some subgroups of \g are c-normal in $G$. The main theorem is as follows:Let \e be a normal finite group of $G$. If all subgroups of \ep with order \dpp and 2\dpp (if $p=2$ and $E_{p}$ is not an abelian nor quaternion free 2-group) are c-normal in $G$, then \e is \phe $G$.We give some applications of the theorem and generalize some known results. Lugansk National Taras Shevchenko University The research has been supported by NSF China (11171353) 2015-09-28 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/70 Algebra and Discrete Mathematics; Vol 19, No 2 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/70/19 Copyright (c) 2015 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2015-09-28T11:22:08Z |
| collection |
OJS |
| language |
English |
| topic |
c-normal hypercenter p-supersolvable p-nilpotent 20D10 |
| spellingShingle |
c-normal hypercenter p-supersolvable p-nilpotent 20D10 Su, Ning Wang, Yanming On c-normal and hypercentrally embeded subgroups of finite groups |
| topic_facet |
c-normal hypercenter p-supersolvable p-nilpotent 20D10 |
| format |
Article |
| author |
Su, Ning Wang, Yanming |
| author_facet |
Su, Ning Wang, Yanming |
| author_sort |
Su, Ning |
| title |
On c-normal and hypercentrally embeded subgroups of finite groups |
| title_short |
On c-normal and hypercentrally embeded subgroups of finite groups |
| title_full |
On c-normal and hypercentrally embeded subgroups of finite groups |
| title_fullStr |
On c-normal and hypercentrally embeded subgroups of finite groups |
| title_full_unstemmed |
On c-normal and hypercentrally embeded subgroups of finite groups |
| title_sort |
on c-normal and hypercentrally embeded subgroups of finite groups |
| description |
In this article, we investigate the structure of a finite group \g under the assumption that some subgroups of \g are c-normal in $G$. The main theorem is as follows:Let \e be a normal finite group of $G$. If all subgroups of \ep with order \dpp and 2\dpp (if $p=2$ and $E_{p}$ is not an abelian nor quaternion free 2-group) are c-normal in $G$, then \e is \phe $G$.We give some applications of the theorem and generalize some known results. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2015 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/70 |
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AT suning oncnormalandhypercentrallyembededsubgroupsoffinitegroups AT wangyanming oncnormalandhypercentrallyembededsubgroupsoffinitegroups |
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2025-07-17T10:31:28Z |
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2025-07-17T10:31:28Z |
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1837890138070319104 |